81948870504000 has 224 divisors, whose sum is σ = 300661301241600. Its totient is φ = 21853032076800.

The previous prime is 81948870503947. The next prime is 81948870504023. The reversal of 81948870504000 is 40507884918.

81948870504000 is a `hidden beast` number, since 8 + 1 + 9 + 488 + 70 + 50 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×81948870504000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189480460 + ... + 189912459.

Almost surely, 2^{81948870504000} is an apocalyptic number.

81948870504000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81948870504000 is an abundant number, since it is smaller than the sum of its proper divisors (218712430737600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81948870504000 is a wasteful number, since it uses less digits than its factorization.

81948870504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379392955 (or 379392929 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 81948870504000 in words is "eighty-one trillion, nine hundred forty-eight billion, eight hundred seventy million, five hundred four thousand".